Boolean algebra #1: Basic laws and rules

[@flawlessvictory7620]

This video should be named "Slavic guy speaks English and is explaining things better than your teacher"

[@hariharanganesan7240]

Something + something = Something !! It perfectly makes sense now !!! Thank u for d explanation.

[@davidesp00]

@Mekal Covic not more of something, its exactly something

[@anooshahassan597]

Hahhahahahhaha

[@samanthapennington4232]

I love this explanation

[@rayyanzaidi3323]

This Teacher Teaches better than my uni professor!

[@armbarsandbarchords]

thank you man. About to watch the rest of your videos. My logic design class is only 2 days a week, and my professor is somewhat hard to understand. You're doing a good thing, may the force be with you!

[@centaur6ify]

I found this video extremely well explained. Vladimir provides an explanation of the fundamentals that gives one the ability to think and adapt these fundamentals to future problems. Thank you.

[@Iqbd1204]

I'm autism spectrum and this is the best video on this topic where I finally managed to learn. Thank you

[@Jadorefedore]

i decided to start learning this stuff today because my friend was talking about it and i was interested, and your videos make everything so simple i love it

[@juliangoulette7600]

"multiplication"=AND "addition"=OR "inversion"=NOT

[@huttonjoseph21]

+Julian Goulette Ahhhh good point.

[@james77011]

Yes, perfect

[@1brolyable]

Thank you.

[@MCPCStudios]

I realized this tooo

[@samanthapennington4232]

I used your video's to teach myself Boolean Algebra so I could teach my students. I'm revisiting this 5 years later for the first time. My favourite part is something + something = something.

[@MattHuxley07]

Thank you so much for posting this. It took you ten minutes to CLEARLY explain what my lecturer has been trying to explain for two weeks. MANY THANKS TO YOU!!!

[@homosuperian]

I don't know enough to pass my test in medical informatics, but this guy is already saving me from the hell that I'm currently in. Thank you, sir!

[@randysickguy235]

All I want to say thank you for making these videos as they helped me alot and I learned alot in 10 minuites than spending a whole two hours with my shitty lecturer, all I want to say is keep doing what you are doing and I'm sure you did not just help me but you also helped the people that viewed these videos. So again thanks a lot, your the best :)

[@steplikesteph]

Learning from this series for the test

[@KeyurKumbhare]

For CBSe?

[@fenicc_fox294]

Studying for full stack software dev and these videos are wonderful to have!

[@SDTricker]

Please continue the series!!!! I remember these videos are what helped me pass my course!!! I now have to take an advanced digital logic class pretty soon. It would be awesome if you continue these series. These videos are simply the best online!!! Thanks much!!!!

[@AussieRaver1996]

My god... You are an awesome teacher. My Software Design teacher isn't bad, but I didn't understand his teaching techniques of "BOOLEAN ALGEBRA". This video really covered the blank areas of basic logic gates. Thanks very much!

[@gameking150]

dude you are awesome, my professor dose not know what he is trying to teach... from this single video i learned 10x more than i did in his 2.5 hour class

[@keleshevCOM]

@Supermanu15 you are welcome! but be aware that in different courses they might use different terms and notations than me. For example: i say "A-negated" others might say "not A" and instead of writing a bar above A, they might write -A or ¬A or A' instead of AB or A*B they might write A∧B or A∪B instead of A + B they might write A ∩ B. It's looks like a mess, but as for engineers - they almost always use the same notation as me. Anyway, good luck with your studies!

[@anonymousalien3728]

Cool you helped me alot btw! But I have a question in multiplication if A=1 A-negated=0-negated then A×A-negated would give us 1 since 0-negated=1 so A×A-negated or 1×0 negated OR 1×1! Would be equal to 1! Then how can you say it'll always be equal to 0???? 🤔🤨

[@shybrain]

As an aerospace engineering student I really appreciate these videos

[@keleshevCOM]

@Blixish Thanks for your feedback! If you find some places that are not very clear - feel free to point it out - I will try to fix it. btw, didn't expected that you have interest in Boolean algebra when posting the video response :-) And thanks for subscribing!

[@ryan.1990]

1=Being 0=Not Being Mathematical Ontology

[@StruckByEvilGaming]

0+1= Uhhhhhh... Equals 1 lolol

[@jktenny]

you are a hero, thank you soo much, your explanation is very clear and make it really make sense.. i didn't know the reason behind these rules until you explained that. I was just forced my self to remember those bunch or rules without even understood that.

[@dbiswas123]

Greetings from USA. Excellent explanation, Vladimir ! Thank you so much. 1st time I understood Boolean Algebra ...

[@peggyhakanson3139]

Thanks for the refresher...was taught the basics in an electromechanical physics class about 30 years ago, lol! Remember AND, OR, NAND, NOR gates in a circuit.

[@ChrisMan42o]

Thanks man, I was so confused in maths class today. I knew someone on youtube would save me.

[@laniASMR]

thank you so much for making this video and explaining so good, i understood it much better then 3 hours in class in college.

[@AndrewSouthworth]

I'm minoring in robotics and i'm taking a logic design course next semester, your videos are going to help me get a head start. Thanks! I'm an ME major so i'm already starting behind the pack, haha.

[@asherorourke6199]

the best explanations are often the simplest, wonderful explanation.

[@sandeepakariyawasam5216]

thanks , this is so simple that i can understand every bit, thanks alot!

[@iliapopovich]

Actually multiplication is just connection in series, addition is parallel and negation is the inverted signal or a relay represented electrically.

[@HHH1997]

Holy shet, you saved from me from the dark abyss !!

[@burntsousages]

thank you, your videos are so easy to follow and understand. I've been learning this and digital logic and you are really helping me pick up the things I've had trouble getting my head around, with such clear, understandable explanations.

[@rodoeht09]

Another way to think of + and * is: + is like two parallell switches, * is like two switches in series.

[@etoya7192]

спасибо, очень здоровски объясняете! отличный английский, прекрасное произношение, и талант к объяснениям!

[@jakelawson222]

This is an excellent instructional video. Very intuitive approach.

[@coinboxmathlogic2525]

1+1=10 in binary. For what you call addition, I would call that an OR gate. What you call multiplication I would call an AND gate.

[@singhgurpreet2040]

They always start with this first and in next chapters it will become OR/AND/NOT/ONLY and stuff like that.

[@sunnychan2507]

the + is not addition, it is an OR operator I think,

[@amrojjeh]

Boolean Algebra isn't the same as binary. Boolean algebra is about truths and false, binary is a base 2 number system. They might look similar but they are not. Here is the basic break down: Binary: - Binary is pretty much like our normal numbers (Base 10, aka decimal) except we only have two symbols. - In our traditional number system, we have ten symbols (That's why it's called Base 10), and here they are: 0 1 2 3 4 5 6 7 8 9 (Notice how we didn't use the number 10, that because the number 10 utilizes the symbols that we already established before, the 1 and the 0) - Binary on the other hand only uses two out of the traditional 10 symbols that we use (That's why it's called base 2), and here they are: 0 1 This is why 10 in binary equals 2 in decimal, because we run out of symbols faster with base 2. Lets count in binary and decimal to show what I mean Decimal | Binary 0 | 0 1 | 1 2 | 10 3 | 11 4 | 100 5 | 101 6 | 110 7 | 111 8 | 1000 9 | 1001 10 | 1010 11 | 1011 12 | 1100 13 | 1101 Hope that this explains binary. Oh ya also forgot to mention, binary came way long before computers or Boolean algebra, it first came as pure math and then later it was used for Boolean algebra, which then was used for computers as a convenient way to store falses or truths. Or at least it is kinda used as truths and falses -- but that's not the main subject of the comment so lets move on to Boolean algebra. Boolean algebra: - It just represents truths and false, that is really it. (At least as far as I am aware, I am still learning it) - That is why 1 + 1 = 1, it is because it pretty much means truth + truth = truth. It wouldn't make any sense to have a 10 in there, because we only have two values, not two symbols, but two values.

[@darthlion6419]

You explained it much better than my teacher. Thanks!

[@tukxi3025]

This video helped me a lot. Thank you so much dude the entire time i was missing that final piece of the puzzle to figure it out.

[@mhen312]

I had to pause the video at minute 1:49 to look at the addition table. I was like, that looks like an OR table. I assume that he will probably cover this later in the video? And at aprox 5:3 A * O or A * 1 basically demonstrates a mask in a plc. This is awesome stuff!

[@dianiambarsari7098]

it is very recommended for me as student of Telecommunication Engineering :) Thankyou for your video posting

[@kk2586]

Thank You So Much , your Videos are Helping out for my exams which is ahead after 2 Days !!

[@etolly1977]

Thanks for the videos. Taking a discrete math and this has help a lot on the Boolean algebra chapter.

[@bsassassin]

Thanks a lot man .. I don't know why my teachers can't explain it easily like yours

[@petrolhead9914]

this guy just saved my life

[@terminatortscc1]

You teach better than my teacher. thank you man!

[@sidirule]

this video helped me a lot to understand basic laws clearly, thank you so much.

[@ratonL]

We're working with the Binary System; 1 [True/on] and 0 [False/off]. If the plus (+) & multiplication (×) signs aren't working for you, you can change them for 'or' & 'and' respectively. If you get two inputs to get an output: (1 or 0), '1' being 'true/on' & '0' being false/off, your end statement -your output- would be 'True', because at least one of the inputs is 'true'. (0 or 0) is 0, or 'False/off', because none of those is true. (1 or 1) is 1, because at least one of the inputs is true.

[@allinone9723]

Tnx bro tommorow my exam i dont know any about boolean this video is very helpful now i am ready to exam :D tnx again :D

[@Gnuitenjong]

It actually makes sense to me know. Will be watching more of your videos!

[@TheArianman]

+Gideon Tolk now*

[@asfandsoomro9725]

loved that 'nothing' and 'something' example

[@harpritsingh3862]

Thanks man, explained in the best possible manner...

[@salmanmoin3588]

Thanks Vladimir for the excellent way of expression, awesome. thanks,

[@ratonL]

For the multiplication or 'and', you'll see that both have to be true for the output to ring true. That's why you get (1×0) is 0, because the first input 'and' the second input aren't true. If you get (0 and 0), the output will be 0, because none of the inputs are even true to begin with. The only 'combination' that rings true is (1 and 1) -(1×1)- because both the first 'and' the second inputs are true/on/1.

[@juan1oo1]

You would only know if it was specifically assigned by someone. But in this case it is not required. In terms of Addition if A=1 then as he said A+A=A or 1+1=1 and the same applies for Zero. For multiplication A x A = A if A =1 or 0. Doesn't matter. What matters is that adding and multiplying a variable with itself in circuit logic will get you that very same variable as an answer

[@PratapModhvadiya]

Dear Brother this is video really helped me, May god bless you ..

[@monishaelaveettil5801]

Thanks My computer class is sooooooo booooring thanks 2 u i could cover it up

[@webmaster246]

2 is out of the outermostly closiest possible set. Makes sense 1+1 = 1 in base-2 numeral system

[@huttonjoseph21]

So basically I was thinking about this in terms of geometry. Say you want an area you can get it only by multiplying to values together. Everything else will multiply out to 0. If it is the circumference of two numbers then the addition rules would apply. Also I was thinking in a two dimensional setting. How then you would take it to three?

[@SplitSniper7]

Thank you for this! You have saved my life with these videos!

[@RecordCreator2362]

Thanks for helping me pass my certificate exam

[@_productivity__nill_1131]

a * 0 = 0 is the annulment law. a + 0 = a is the identity law

[@MrArontan]

Thanks love your video! I learnt much easily watching your video compared to my lecturer's teaching. Sorry for poor grammer

[@stelity]

Thanks, this made it a lot easier for me to understand.

[@frederikvandenbroeke7698]

Thx mate tomorrow i have a test about this and now i understand it

[@assadaaadinawa5225]

namchara chaomaji. ko chalrayage, superb ,marvellous .and i love it very much. Thx

[@s11067528]

U'r really good wish u could be my teacher, sadly I just found your videos tonight, and am having my exams on digital n devices A 2mrw...Please keep on doing more videos you'll save more lives hehehe as u did 4 me, Thanx

[@abeltic2]

thanks so much i finally get how boolean algebra works! I was so lost before youre video thanks soooo much for this tutorial =)

[@eliasdargham9493]

Our professor substitutes multiplication and addition with AND and OR annotations respectively...

[@umar_fb]

oh wow great vid man! I was learning this in my AS computing class and my teacher made it seem so hard.

[@MCSGproject]

Man nothing is worse than opening a video and then realizing the audio plays in one ear

[@trangnguyentrungphat7968]

I'm from Viet Nam and this video helps me so much!!!. Thank u :D

[@hanskristian8931]

Thank you soo mutch for all the great videos!!! you have a great way of making things look easy!

[@sasukeuchiha5402]

Don't imagine or think, just know that 0 is off/false and any numbers 1 or up is on/true, so if its 1 + 1 which is 2 its on but since computer knows 1s and 0s. 2 is counted as 1 since they have the same concept of on

[@PkOdGaming]

This is a brilliant video, it's helped a lot. I'll defiantly check out some more of your boolean algebra vids. You've earned yourself a like and a sub - fantastic work!

[@DarthAlphaTheGreat]

The basis for Boolean Algebra is the famous algebra Z2 = {0,1}, which form a commutative ring, in fact a field, also know as integers mod 2. 0 are all even numbers, 1 are all odd ones. Then soon you will realize 1+1 = 0. Now x is an easy model of and, but + is not or. In fact, x or y is x+y+xy, which is x by itself, y by itself, or x and y (as before is xy). x+y is exclusive or. We need the group structure for other things, I guess you DON'T need to define + this way but then you lose structure, making it essentially a short hand version of "and" and "or"---and difficult building additional structures around it. For instance, there is no -1 in this case (while in Z2, -1 = 1). In math we call additive inverse. So now you have to introduce "not" separately, which in Z2 it's just +1. So not a is a+1, a and b is ab, a or b is a+b+ab, a => b is (not a or b) (a+1)+b+(a+1)b = a+1+b+ab+b = a+1+ab, which make sense as (a+1) is not a, ab is a and b--so it's either not a or a, b are both true, exclusive or. So 1+1= 1...nah, I will take 1+1 = 0.

[@DarthAlphaTheGreat]

+DarthAlphaTheGreat You can think of + as "taking ALL distinct cases" and put them together. So a+1 is only one of a or 1 is true. 1 is TRUE so a is false (not a) a+b+ab, either a is true, or b is true, or both are true, aka a or b. etc.

[@HowtoPhD]

Concise but brilliantly informative video. Thank you!

[@cammorris55]

Great video, please do more, great way to learn algebra.

[@GurnamParsad]

you explained it well... thank you

[@Qubaisi4Life]

Thank you man that really helped and i will continue to watch the other parts i love your simple explination peace

[@macococo1]

Nagyon jó sorozat. Tegnap filmen láttam a tudós és elődjei, utódjai Tudományos eredményit. ***************

[@andreizadorozhniy279]

You are an amazing teacher! Thank you!

[@lachlanmcilroy4370]

Wow! Very nicely explained.

[@JuggernautICBM]

As an Engineering student I thank you.

[@nancyelbadry93]

it's simple the computer language contains only 2 digits it's 0 and 1 0 means false or off 1 means true or on which in terms of electrical circuits means open circuit or closed circuit so it's like a switch that turns off when it reads 0 or on when it reads 1 something like that :D :D

[@1r0n3agl3]

he deserves more views

[@tegid699]

when you are adding , do you not need to say what the operator is? you heve done addition for an "or" gate should you not start with an "and" then do "or" then "nor" then "nand" and "exclusive nand" otherwise it doesnt make sense

[@raulpena4700]

Thank you sooo much! I really appreciate this, you taught me basics very quickly.

[@floruhoud13]

GREAT - F****NG GREAT (WATCH THEM ALL!) Thank you very very much Vladi - You should become a teacher!!! Thx

[@anniehunter5031]

You saved my life! Thank you!

[@e_wa.n5036]

look at it as if its an electric switch...which it is. 1=on 0=off so if its on and you add on youre just left with on, and not two ons... off plus on is on and so forth

[@Nathouuuutheone]

It's the first time I see these with × and +. I'm used to And and Or. Makes me wonder if - and ÷ are used in ways I didn't know too.

[@TheRenzer9]

hey...u r in the queue mate...better luck next time !

[@altjim1]

I think that this is the way it should be tought in high school..

[@KRAPYBARA84]

Are we given the values that will be plugged in or do we have to figure that part out? Or will A always equal 1 or 0?

[@nay0720]

Thanks for the help... but why does it sound like you're recording this in a tunnel with a water leak????

[@pl7771]

Can you please explain me why in the absorption law y+xyz=y ??? And not yz ??? It is on my exercise not on your lesson.

[@josephgamingbaileyfreaks5087]

thank you mn when my math lecturer explained it first it sounded like rocket science

[@AliHaris11]

Thank you for the video. Very clear and interesting.

[@taragragg400]

This is what brings us here.